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Simplifying 7y2 + -16y + 9 = 0 Reorder the terms: 9 + -16y + 7y2 = 0 Solving 9 + -16y + 7y2 = 0 Solving for variable 'y'. Factor a trinomial. (1 + -1y)(9 + -7y) = 0Subproblem 1
Set the factor '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1Subproblem 2
Set the factor '(9 + -7y)' equal to zero and attempt to solve: Simplifying 9 + -7y = 0 Solving 9 + -7y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -7y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7y = 0 + -9 -7y = 0 + -9 Combine like terms: 0 + -9 = -9 -7y = -9 Divide each side by '-7'. y = 1.285714286 Simplifying y = 1.285714286Solution
y = {1, 1.285714286}
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